Q. 74.9( 8 Votes )

A sphere and a right circular cylinder of the same volumes. By what percentage does the diameter of the height?

Answer :

We know that,

Where,


r = radius of a sphere


and, Volume of cylinder = πr2h


Where r= radius


And π = 3.14


Given: Volume of sphere = Volume of right circular cylinder


Thus,




Multiplying by 2 on both side



(since, diameter D=2r)


Let h be 100%


Thus,


Required difference = 150% - 100% = 50%


Thus, Diameter of a cylinder exceeds its height by 50%


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